Chapter 29, Problem 7STP

To determine

To Choose:The correct option.

Answer to Problem 7STP

Option B

Explanation of Solution

Given data:

Thermal production doubles for every $8°\text{C}$ increase in temperature.

Temperature of the silicon diode is $0°\text{C}$ .

Its current is $2.0\text{ nA}$ .

Calculation:

Current at $0°\text{C}$ = $2.0\text{ nA}$

Thermal production doubles for every $8°\text{C}$ increase in temperature

To find diode current at $112°\text{C}$ , find the number of times temperature increases by $8°\text{C}$ .

  $n=\frac{112°\text{C}}{8°\text{C}}=14$

Hence, the temperature doubles 14 times.

Therefore,

  $\begin{array}{l}{\text{I}}_{112°C}=\text{I}\times {\text{2}}^n\\ =2\text{ nA}\times {\text{2}}^{14}\text{ [n=14]}\\ =\text{33 }\mu \text{A}\end{array}$

Conclusion:

Hence, the required current is $33\mu \text{A}$ .